English

A note on a smoothing property of the harmonic Bergman projection

Complex Variables 2013-05-13 v1

Abstract

It is proved that on any smoothly bounded domain DD in Rn\mathbb{R}^n, n>1n>1, the output of the harmonic Bergman projection belongs to the Sobolev space of order kk whenever all tangential derivatives of order up to k of the input function belong to L2(D)L^2(D).

Keywords

Cite

@article{arxiv.1204.2200,
  title  = {A note on a smoothing property of the harmonic Bergman projection},
  author = {A. -K. Herbig},
  journal= {arXiv preprint arXiv:1204.2200},
  year   = {2013}
}